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Natalija [7]
3 years ago
6

3) A number divided by three is nine more than the number.​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0

Answer:

Number is x =  -13.5

Step-by-step explanation:

Let the number is x

Given condition:

number divided by three is nine more than the number.

This can be written as:

x/3 = 9 + x

Taking x sides at left of equal will make the signs opposite

x/3 - x = 9

Taking denominators of both terms same (3)

x/3 - x* 3/3 = 9

(x- 3x)/ 3 = 9

-2x/3 =9

Multiplying both sides by -3/2

x = 9*(-3/2)

x = -27/2

x= -13.5

Proof:

Given condition is:

x/3 = 9 + x

Putting value of x

-13.5/3 = 9 + (-13.5)

-4.5 = -4.5

I hope it will help you!

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Answer:

b.  x + (x + 2) + (x + 4) = 39

Step-by-step explanation:

<u>Definitions</u>

  • Integer:  a whole number that can be positive, negative or zero.
    e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
  • Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2).  For example, 1, 3, 5, 7 are all positive odd numbers.
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<u>The sum of three consecutive odd integers</u>

Let x be the first odd integer.

As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).

Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).

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